We reached our goal by helping 2000 customers this month which is 14% more than last month. That means we must have helped how many customers last month?

Answer:

x = -0.4y

Step-by-step explanation:

Simplifying

15x + 6y = 0

Solving

15x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

15x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

15x + 0 = 0 + -6y

15x = 0 + -6y

Remove the zero:

15x = -6y

Divide each side by '15'.

x = -0.4y

Answer:

Sum of interior angles of a triangle = 180°

Sine rule to find side lengths:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

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Question 1aa

Given: B = 10°, C = 100°, b = 2

10° + 100° + A = 180°

⇒ A = 70°

[tex]\dfrac{a}{\sin 70}=\dfrac{2}{\sin 10}=\dfrac{c}{\sin 100}[/tex]

[tex]\implies a=\sin 70 \cdot \dfrac{2}{\sin 10}=10.82294826...[/tex]

[tex]\implies c=\sin 100\cdot \dfrac{2}{\sin 10}=11.34256364...[/tex]

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Question 2bb

Given: A = 40°, B = 40°, c = 2

40° + 40° + C = 180°

⇒ C = 100°

[tex]\dfrac{a}{\sin 40}=\dfrac{b}{\sin 40}=\dfrac{2}{\sin 100}[/tex]

[tex]\implies a=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

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Question 1aa

Given: A = 110°, C = 30°, c = 2

110° + 30° + B = 180°

⇒ B = 40°

[tex]\dfrac{a}{\sin 110}=\dfrac{b}{\sin 40}=\dfrac{3}{\sin 30}[/tex]

[tex]\implies a=\sin 110 \cdot \dfrac{3}{\sin 30}=5.638155725...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{3}{\sin 30}=3.856725658...[/tex]

Answer:

210 mph

Step-by-step explanation:

speed of jet = x

headwind: speed = x - 27

time taken = 1134.6/(x - 27)

tailwind: speed = x + 27

time taken = 1469.4/(x + 27)

same amount of time:

1134.6/(x - 27) = 1469.4/(x + 27)

Cross multiply,

1134.6(x + 27) = 1469.4(x - 27)

1134.6x + 30634.2 = 1469.4x - 39673.8

334.8x = 70308

x = 210 mph

Answer:

The area of this figure is  106 square meters

Step-by-step explanation:

7*4=28

(10*5)

50+28+28= 106 sq meters

Answer:

Step-by-step explanation:

Note is seems typo, b = 0

Given, expression

It represents distributive property of multiplication a(b + c) = ab + ac

Correct choice is the first one

Answer:

[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]

Write 64 as a product of primes.

Use index notation where appropriate.

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

[tex]Prime\ no.\ is\ 2[/tex]

Factorisation of 64=2×2×2×2×2×2

[tex]{2}^{6} [/tex]

Answer:

Step-by-step explanation:

(26/2)² = 169

Answer:

Kelsey has 8 plus more entries

8 + x

Answer:

{4,6,8,10,12}

Step-by-step explanation:

Even numbers are those that can be divided by 2 without remainder i.e. they are divisible by 2.

The first positive even numbers are 2,4,6,8,10,12,14,16,18...

Selecting the numbers in the given range between 3 and 13 in set notation:

{4,6,8,10,12}

Answer:

4, 6, 8, 10, 12

Step-by-step explanation:

List the even numbers between 3 and 13 in set

notation

[4, 6, 8, 10, 12]

thanks

Answer: You will be able to go for 2 full years.

Step-by-step explanation:

12,120 x 2 = 24,240. You will have $4760 leftover.

Answer: You will be able to go for 2 years and about 3 months

Step-by-step explanation:

Answer:

to know what scale to use you divide the the highest score by the number of hozirontal line (feint/lighter drawn lines) which are 14.

so 260 ÷ 14 equals = 18.57

I then rounded the 18.57 to the nearest 10th = 20.

so the scale used is 20s

Answer:

Zeroes: None

Domain: All real numbers

Maximum: None

Step-by-step explanation:

Answer:

12(1+3)

6(3+1)

12(4)

6(4)

48

24

answer = 2

Answer:

25%, 50%, 12.5%,12.5%

Step-by-step explanation:

6/24

3/24

12/24

3/24

Answer:

41/10 or 4.1......

Step-by-step explanation:

Using it's concept, it is found that the relative frequency for the class with a lower class limit of 35 is of 12.5%.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 5 out of a total of 10 + 8 + 9 + 4 + 4 + 5 = 40 students are in the class with a lower class limit of 35, hence:

f = 5/40 = 1/8 = 0.125 = 12.5%.

The relative frequency for the class with a lower class limit of 35 is of 12.5%.

More can be learned about relative frequencies at https://brainly.com/question/14398287

Answer:

Step-by-step explanation:

No Zack will finish first

Answer:

Only Zack will finish

Step-by-step explanation:

126/3 = 42

42*5 = 210

180 / 4 = 45

45 * 5 = 225

If you can can i have brainliest

Answer:

12 boys

Step-by-step explanation:

7 x 3 = 21

4 x 3 = 12

12 boys

Answer:

4[tex]\sqrt{2\\[/tex] or 5.7

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

4[tex]\sqrt{2\\[/tex] or 5.7

Answer:

x^(2)+(y+2)^(2)=1

Step-by-step explanation:

Answer:

V = l × b × h

Part (a)

This sequence is convergent because all we care about are the leading terms for the numerator and denominator. As n gets really large, the leading terms dictate what happens.

The leading term up top is 9n

The leading term down below is 7n

Divide the two items to get (9n)/(7n) = 9/7

We don't have to worry about dividing by zero because n will go off to infinity, and as it does so, the sequence [tex]\{a_n\}[/tex] converges to 9/7

========================================================

Part (b)

As n heads to infinity, the terms of the sequence are approaching 9/7 (they never quite hit the exact value though).

Note how 9/7 = 1.2857 approximately which is larger than 0

So effectively for very large values of n, we're adding on 1.2857 each time or close to it, meaning that this infinite series diverges.

------

For a series like this to converge, the answer to part (a) must be 0. This way at some point, we're effectively adding 0 to the series and we approach some fixed sum.

For example, consider the sequence 1/(7n+1)

As n goes to infinity, the terms of the sequence approach 0

This means that for some very large n, the 1/(7n+1) is basically 0 and we aren't adding much onto the sum to change it. So this sum will converge to a fixed value.

The expression to be evaluated:

For,

First step in evaluating an expression is to substitute the given value of variable into the expression. Then you can finish evaluating the expression using arithmetic.

On putting the values of x and y in the given expression:

‎ㅤ‎ㅤ➝ 2x² - y + 3x

‎ㅤ‎ㅤ➝ 2× ( 3 )² - 7 + 3 × 3

‎ㅤ‎ㅤ➝ ( 2 × 9 ) - 7 + 9

‎ㅤ‎ㅤ➝ 18 - 7 + 9

‎ㅤ‎ㅤ➝ 11 + 9

‎ㅤ‎ㅤ➝ 20

Answer:

7

Step-by-step explanation:

Answer:

The smallest number be 6.

Step-by-step explanation:

Let the 4 consecutive numbers be :

n,n+1,n+2,n+3 where n is the smallest number

Adding up the 4 consecutive numbers, we get :

n+n+1+n+2+n+3 = 4n+6

ATQ,

4n+6 = 5n

Taking like terms together,

6=5n-4n

⇒ n = 6

So, the smallest number be 6.

[tex]\\ \rm\rightarrowtail 4x-2y=12[/tex]

[tex]\\ \rm\rightarrowtail 2y=4x-12[/tex]

[tex]\\ \rm\rightarrowtail y=4/2x-12/2[/tex]

[tex]\\ \rm\rightarrowtail y=2x-6[/tex]

Done

Answer:

6

Step-by-step explanation:

it's basically the same equation just different arrangement

Answer:

I think it's 16

Step-by-step explanation:

your adding 4